MC ▸ NA ▸ courses ▸ KETA01 – HT2/VT1 2012/13

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In short: Lectures and Exercises

November - December period

Tuesday Nov 06 15-17 h KC:A
Tuesday Nov 27 15-17 h KC:A
Thursday Nov 29 8-10 h KC:H, KC:I
Tuesday Dec 4 15-17 h KC:C
Tuesday Dec 11 15-17 h KC:A

January - March period

Tuesday Jan 22, 13-15 or 15-17 h, KC:I
Monday Jan 28, 13-15 h, KC:G
Monday Feb 4, 13-15 h, KC:G
Tuesday Feb 5, 13-15 or 15-17 h, KC:I
Mondays Feb 11, 18, 13-15 h, KC:G
Tuesday Feb 19, 13-15 or 15-17 h, KC:P
Mondays Feb 25, Mar 4, 13-15 h, KC:G

Thematic Schedule

DateLectureMaterial
2012-11-06

Introduction to the course. What are numerical methods? Introduction to Matlab. Read sections 2.1 -- 2.5

Lecture 1
2012-11-27

Programming in MATLAB: M-files, function files, decision and loop structures, anonymous functions, function functions, cell mode. Read sections 3.1, 3.2, 3.3, 3.4, and 3.5.

Lecture 2 (download cellmode.m and cellmode.html)
2012-11-29

Case study 1: How to work out a computer lab.

Exercise 1
2012-12-04

Errors. Finding the roots of nonlinear equations: Graphical and bracketing methods. Read sections 4.1, 5.1, 5.2, 5.4.

Lecture 3
2012-12-11

Open methods for finding the root of non-linear equations. The Newton-Raphson method. The built-in functions fzero and fsolve. Read sections 6.2, 6.5, 6.6.

Lecture 4
2013-01-22

Case study 2: Solving a problem from scratch.

Exercise 2
2013-01-28

Read chapter 8 for a review of basic linear algebra. Read chapter 9, on Gauss elimination and operation count.

Lecture 5
2013-02-04

The matrix inverse. Read sections 11.1 and 11.3. The LU factorization. Chapter 10. Read sections 10.1, 10.2, and 10.4.

Lecture 6
2013-02-11

Curve fitting -- Linear least-squares regression. Read sections 14.3, 14.4 and 14.5.

Lecture 7
2013-02-18

Interpolation. MATLAB built-in functions polyfit and polyval. Extrapolation. The Runge phenomenon. Read sections 17.1 and 17.5.

Lecture 8
2013-02-19

Case study 4: solving Lab 7

Exercise 4
2013-02-25

Piecewise interpolation. Linear and cubic splines. Read 18.1, 18.2, 18.4, 18.5, 18.7.

Lecture 9